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Finding the Fourth Proportional to 10,205.97, 14,084.08 and 5,729.31

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Solution

The fourth proportional to 10,205.97, 14,084.08 and 5,729.31 is: 7,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.97 : 14,084.08 = 5,729.31 : x
  2. Step 2: Convert to fraction form
    10,205.97/14,084.08 = 5,729.31/x
  3. Step 3: Cross multiply
    10,205.97x = 14,084.08 × 5,729.31
  4. Step 4: Simplify right side
    10,205.97x = 80,692,060.38
  5. Step 5: Solve for x
    x = 80,692,060.38/10,205.97
  6. Step 6: Final answer
    x = 7,906.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.